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Simplifying 4(n + 3) = -5n + n + 12 Reorder the terms: 4(3 + n) = -5n + n + 12 (3 * 4 + n * 4) = -5n + n + 12 (12 + 4n) = -5n + n + 12 Reorder the terms: 12 + 4n = 12 + -5n + n Combine like terms: -5n + n = -4n 12 + 4n = 12 + -4n Add '-12' to each side of the equation. 12 + -12 + 4n = 12 + -12 + -4n Combine like terms: 12 + -12 = 0 0 + 4n = 12 + -12 + -4n 4n = 12 + -12 + -4n Combine like terms: 12 + -12 = 0 4n = 0 + -4n 4n = -4n Solving 4n = -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 4n + 4n = -4n + 4n Combine like terms: 4n + 4n = 8n 8n = -4n + 4n Combine like terms: -4n + 4n = 0 8n = 0 Divide each side by '8'. n = 0 Simplifying n = 0
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